What is the 958th prime number?
The 958th prime number is 7549. The next prime is 7559 (a gap of 10) and the one before is 7547.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 958th one is 7549.
- 2
7549 is prime because no prime up to ā7549 ā 86.88 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 958th prime is close to 958 Ć ln(958) ā 6577, and here it is 7549.
- 4
7549 is a twin prime: 7547 and 7549 are both prime.
Primes around the 958th
| Position | Prime | Gap from the previous |
|---|---|---|
| 955 | 7537 | 8 |
| 956 | 7541 | 4 |
| 957 | 7547 | 6 |
| 958 | 7549 | 2 |
| 959 | 7559 | 10 |
| 960 | 7561 | 2 |
| 961 | 7573 | 12 |
Questions
What is the 958th prime number?
7549.
Which prime number is 7549?
7549 is the 958th prime number.
What is the sum of the first 958 primes?
3,358,287.